Flynn had 20% more marbles than Luke. Flynn gave 20% of his marbles to Luke. Luke in return gave 50% of his marbles to Flynn. In the end, Luke had 288 less marbles than Flynn. How many marbles did Luke have in the end?
| |
Flynn |
Luke |
| Before |
120% |
100% |
| Change 1 |
- 24% |
+ 24% |
| After 1 |
96% |
124% |
| Change 2 |
+ 62% |
- 62% |
| After 2 |
158% |
62% |
Number of marbles that Flynn had at first in percent
= 100% + 20%
= 120%
Number of marbles that Flynn gave to Luke in percent
= 20% x 120%
=
20100 x 120%
= 24%
Number of marbles that Luke gave to Flynn in percent
= 50% x 124%
=
50100 x 124%
= 62%
Number of less marbles that Luke had than Flynn in the end
= 158% - 62%
= 96%
96% → 288
1% → 288 ÷ 96 = 3
Number of marbles that Luke had in the end
= 62%
= 62 x 3
= 360
Answer(s): 360
